| 广义Nizhnik-Novikov-Veselov方程组的新行波解 |
| |
| 引用本文： | 邹科发,李雪臣.广义Nizhnik-Novikov-Veselov方程组的新行波解[J].许昌师专学报,2012(2):6-13. |
| |
| 作者姓名： | 邹科发 李雪臣 |
| |
| 作者单位： | 许昌学院数学与统计学院,河南许昌461000 |
| |
| 基金项目： | 基金项目：河南省自然科学基金项目（2009A110016） |
| |
| 摘 要： | 借助齐次平衡方法和数学软件计算,应用修正的G＇/G展开法成功获得了Nizhnik-Novikov-Veselov（简称NNV）系统的多个含有参数的精确行波解,所得的解包含有新的孤立波解,丰富了已有结果.该方法具有简单高效、计算量小、求解速度快等特点,此方法还可以用来求解其它的高维非线性发展方程的精确行波解和孤立波解.
|
| 关 键 词： | 行波解 广义NNV方程组 孤立波解 修正的G＇/G展开法 齐次平衡法 |
New Travelling Wave Solutions for Generalized Nizhnik-Novikov- Veselov Equations |
| |
| ZOU Ke-fa,LI Xue-chen.New Travelling Wave Solutions for Generalized Nizhnik-Novikov- Veselov Equations[J].Journal of Xuchang Teachers College(Social Science Edition),2012(2):6-13. |
| |
| Authors: | ZOU Ke-fa LI Xue-chen |
| |
| Institution: | ( School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China) |
| |
| Abstract: | Based on homogeneous balance method and mathematical software calculation, some travelling wave solutions with parameters for the generalized NNV equations have been obtained by using the modified G＇/ G-expansion method, which include new solitary-wave solutions and extend the existing results. According to the solving process of the travelling wave solutions for the equations, this expansion method is direct, concise, effec- tive, simple for calculations. Furthermore, it can be used to solve exact travelling wave solutions and solitary- wave solutions of other high-dimensional non-linear development equations. |
| |
| Keywords: | travelling wave solutions generalized NNV equations solitary-wave solutions modified G＇/G-expansion method homogeneous balanee method |
| 本文献已被 维普 等数据库收录！ |
